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Finding the Fourth Proportional to 551,903.87, 761,634.20 and 334,109.65

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Solution

The fourth proportional to 551,903.87, 761,634.20 and 334,109.65 is: 461,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,903.87 : 761,634.20 = 334,109.65 : x
  2. Step 2: Convert to fraction form
    551,903.87/761,634.20 = 334,109.65/x
  3. Step 3: Cross multiply
    551,903.87x = 761,634.20 × 334,109.65
  4. Step 4: Simplify right side
    551,903.87x = 254,469,330,511.31
  5. Step 5: Solve for x
    x = 254,469,330,511.31/551,903.87
  6. Step 6: Final answer
    x = 461,075.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.